126061320 has 192 divisors, whose sum is σ = 480168000. Its totient is φ = 26181120.

The previous prime is 126061277. The next prime is 126061339. The reversal of 126061320 is 23160621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63706 + ... + 65654.

It is an arithmetic number, because the mean of its divisors is an integer number (2500875).

Almost surely, 2^126061320 is an apocalyptic number.

126061320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126061320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240084000).

126061320 is an abundant number, since it is smaller than the sum of its proper divisors (354106680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126061320 is a wasteful number, since it uses less digits than its factorization.

126061320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 126061320 is about 11227.7032379735. The cubic root of 126061320 is about 501.4111071402.

The spelling of 126061320 in words is "one hundred twenty-six million, sixty-one thousand, three hundred twenty".